Work

Cloven operadic categories: An approach to operadic categories with cardinalities in finite unordered sets

Year: 2025

Type: article

Abstract: We introduce and study operadic categories with cardinalities in finite sets and establish conditions under which their associated theories of operads and algebras are equivalent to the standard framework introduced in 2015 by Batanin and Markl. Our approach is particularly natural in applications to the operadic category of graphs and the related category of modular operads and their clones. 28 pages

Source: Compositionality

DOI: 10.46298/compositionality-7-5

Author: Martin Markl

Institutions: Czech Academy of Sciences, Czech Academy of Sciences, Institute of Mathematics

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4415296378

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